INSTABILITY INTERVALS FOR HILL'S EQUATION WITH SYMMETRIC SINGLE-WELL POTENTIAL


Coskun H., Baskaya E. , Kabatas A.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.71, ss.977-983, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 71 Konu: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s11253-019-01692-x
  • Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.977-983

Özet

With the help of an auxiliary eigenvalue problem, we deduce some explicit estimates for the periodic and semiperiodic eigenvalues and the lengths of instability intervals for Hill's equation with symmetric single-well potentials. We also establish bounds for the gaps in the sets of Dirichlet and Neumann eigenvalues.